Fermat’s last theorem over ℚ(,)

IF 0.9 1区数学 Q2 MATHEMATICS Algebra & Number Theory Pub Date : 2025-02-20 DOI:10.2140/ant.2025.19.457

Maleeha Khawaja, Frazer Jarvis

引用次数: 0

Abstract

In this paper, we begin the study of the Fermat equation $x^{n} + y^{n} = z^{n}$ over real biquadratic fields. In particular, we prove that there are no nontrivial solutions to the Fermat equation over $ℚ (\sqrt{2}, \sqrt{3})$ for $n \geq 4$ .

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在本文中，我们开始研究实双二次域上的费马方程 xn+ yn= zn。特别是，我们证明在 n≥ 4 时，ℚ(2,3) 上的费马方程没有非小解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Algebra & Number Theory MATHEMATICS-

CiteScore

1.80

自引率

7.70%

发文量

审稿时长

6-12 weeks

期刊介绍： ANT’s inclusive definition of algebra and number theory allows it to print research covering a wide range of subtopics, including algebraic and arithmetic geometry. ANT publishes high-quality articles of interest to a broad readership, at a level surpassing all but the top four or five mathematics journals. It exists in both print and electronic forms. The policies of ANT are set by the editorial board — a group of working mathematicians — rather than by a profit-oriented company, so they will remain friendly to mathematicians'' interests. In particular, they will promote broad dissemination, easy electronic access, and permissive use of content to the greatest extent compatible with survival of the journal. All electronic content becomes free and open access 5 years after publication.

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